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A247227
Numbers that divide the sum of the factorials of their digits in base 10.
1
1, 2, 3, 4, 5, 6, 7, 8, 9, 19, 56, 71, 93, 145, 219, 758, 768, 7584, 7684, 9696, 10081, 21993, 40585
OFFSET
1,2
COMMENTS
Numbers n such that n divides A061602(n).
Finite sequence with 23 terms.
Subsequence of numbers n such that A061602(n) >= n. The largest such number is 1999999.
Sequence of values A061602(a(n)) / a(n): 1, 1, 2, 6, 24, 120, 720, 5040, 40320, 19099, 15, 71, 3902, 1, 1657, 60, 60, 6, 6, 75, 4, 33, 1.
Supersequence of A014080 (whose terms are the numbers n such that A061602(n) / n = 1).
EXAMPLE
19 is in the sequence because 19 divides 1! + 9! = 1 + 362880 = 362881; 362881 / 19 = 19099.
MATHEMATICA
Select[Range[50000], Mod[Plus @@ Factorial[IntegerDigits[#]], #] == 0 &] (* Michael De Vlieger, Dec 26 2014 *)
PROG
(Magma) [n: n in [1..2000000] | &+[ Factorial(d): d in Intseq(n)] mod n eq 0]
(PARI) for(k=1, 10^5, d=digits(k); s=sum(i=1, #d, d[i]!); if(!(s%k), print1(k, ", "))) \\ Derek Orr, Dec 30 2014
CROSSREFS
KEYWORD
nonn,base,fini,full
AUTHOR
Jaroslav Krizek, Dec 25 2014
STATUS
approved